Double Series Involving Binomial Coefficients and the Sine Integral
Number Theory
2010-09-17 v2
Abstract
By dividing hypergeometric series representations of the inverse sine by sin^-1 (x) and integrating, new double series representations of integers and constants arise. Binomial coefficients and the sine integral are thus combined in double series.
Cite
@article{arxiv.1009.0236,
title = {Double Series Involving Binomial Coefficients and the Sine Integral},
author = {John M. Campbell},
journal= {arXiv preprint arXiv:1009.0236},
year = {2010}
}